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VashaNatasha [74]
3 years ago
11

Which expression converts 100 inches per minute to feet per minute ?

Mathematics
2 answers:
My name is Ann [436]3 years ago
8 0

To convert inches per minute to feet per minute, we can use dimensional analysis to help us cancel out the inches:

\frac{100in}{1min}*\frac{1ft}{12in}

Since we are going to cancel out units that are found on both the top and bottom of the fraction bars, we can cancel out units of inches, and thus we are left with feet per minute.

LenKa [72]3 years ago
3 0

Answer:

The expression is \frac{100inches}{1minute}*\frac{0.08333feet}{1inches}

Step-by-step explanation:

1 inch is equal to \frac{1}{12} feet, so:

\frac{1}{12}ft=0.08333 ft

So, if we have 100 inches per minute, to convert it to feet per minute, we have to use the expression:

\frac{100inches}{1minute}*\frac{0.08333feet}{1inch} = 8.333\frac{ft}{minute}

You need to have attention to put the unit that you need that convert on the denominator to operate and obtain your result.

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Answer:his speed in still air is 6 miles per minute.

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Step-by-step explanation:

Let x represent his speed in still air.

Let y represent the speed of the wind.

It takes Jack Frost 5 minutes to fly 35 miles with the wind. This means that his total speed would be x + y

Distance = speed × time

It means that

35 = 5(x + y)

35 = 5x + 5y - - - - - - - - - - -1

It takes him 7 minutes to go 35 miles against the wind. This means that his total speed would be x - y

It means that

35 = 7(x - y)

35 = 7x - 7y - - - - - - - - - - -2

Multiplying equation 1 by 7 and equation 2 by 5, it becomes

245 = 35x + 35y

175 = 35x - 35y

Adding both equations, it becomes

420 = 70x

x = 420/70 = 6

Substituting x = 6 into equation 1, it becomes

35 = 5 × 6 + 5y

35 = 30 + 5y

5y = 35 - 30 = 5

y = 5/5 = 1

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